3:15pm

Once more, Mad Ade is waiting for the local Kebab shop to open.
He glances at his clock and notices the time is 3:15pm. Out of sheer boredom Mad Ade works out the angle between the minute and hour hand.

What was the angle between the hour and the minute hands at 3:15pm?

Answer

7.5 degrees

At 3:15, the minute hand will be perfectly horizontal pointing towards 3, whereas the hour hand will be moving towards 4. Also, the hour hand must have covered 1/4 of angle between 3 and 4.